 If two planes are perpendicular to each other, a straight line drawn in one of them, perpendicular to their intersection, is perpendicular to the other.  Solid Geometry - Page 274by George Albert Wentworth - 1902 - 218 pagesFull view - About this book
 | George Albert Wentworth - Mathematics - 1896 - 68 pages
...their plane angles are equal. 513. Two dihedral angles have the same ratio as their plane angles. 515. If two planes are perpendicular to each other, a straight...their intersection is perpendicular to the other. 516. Cor. 1. If two planes are perpendicular to each other, a perpendicular to one of them at any point... | |
 | Andrew Wheeler Phillips, Irving Fisher - Geometry - 1896 - 554 pages
...Since AB is perpendicular to CD and also to QS, it is perpendicular to MN. § 531 Q ED 576. COR. I. If two planes are perpendicular to each other, a straight line drawn perpendicular to one at any point of their intersection lies in the other. Hint. — In the foregoing... | |
 | George Washington Hull - Geometry - 1897 - 408 pages
...other parallel planes, the four lines of intersection arc parallel. PROPOSITION XXI. THEOREM. 412. If two planes are perpendicular to each other, a straight...perpendicular to their intersection, is perpendicular to tile other. Given—The plane PQ perpendicular to MN, and AB perpendicular to their intersection BQ.... | |
 | Andrew Wheeler Phillips, Irving Fisher - Geometry - 1896 - 574 pages
...Since AB is perpendicular to CD and also to QS, it is perpendicular to MN. § 531 QED <5>76>. COR. I. If two planes are perpendicular to each other, a straight line drawn perpendicular to one at any point of their intersection lies in the other. Hint. — In the foregoing... | |
 | James Howard Gore - Geometry - 1898 - 232 pages
...plane. 364. If the diedral angle is a right angle, the plane angle is also a right angle: therefore if two planes are perpendicular to each other, a straight...their intersection is perpendicular to the other. 365. The following principles are also true: 1. If a straight line is perpendicular to a plane, every... | |
 | Mathematics - 1898 - 228 pages
...is perpendicular to a plane. every plane passed through the line is perpendicular to that plane. (b) If two planes are perpendicular to each other, a straight line drawn in one, perpendicular to their intersection, is perpendicular to the other. 3. Name and describe the regular... | |
 | Yale University - 1898 - 212 pages
...perpendicular to a plane, every plane passed through the line is perpendicular to that plane. (¿) If two planes are perpendicular to each other, a straight line drawn in one, perpendicular to their intersection, is perpendicular to the other. 3. Name and describe the regular... | |
 | George Albert Wentworth - Geometry, Solid - 1899 - 246 pages
...variables are equal. § 284 A'-B'C'-D' _ Z A'B'D' °1S' A-BC-D == £ABD ' OED BOOK VI. SOLID GEOMETRY. PROPOSITION XVIII. THEOREM. 551. If two planes are...perpendicular to MN. Proof. In the plane MN draw DE _L to AB at D. Then CDE is the measure of the right dihedral angle P-AB-N, and is therefore a right... | |
 | George Albert Wentworth - Geometry - 1899 - 500 pages
...Therefore, the limits of these variables are equal. § 284 A'-B'C'-D ' Z A'B'D' " I! " l1s4 A-BC-D ~ Z.ABD PROPOSITION XVIII. THEOREM. 551. If two planes are...perpendicular to MN. Proof. In the plane MN draw DE _L to AB at D. Then CDE is the measure of the right dihedral angle P-AB-N, and is therefore a right... | |
 | Webster Wells - Geometry - 1899 - 180 pages
...drawn perpendicular to the given plane, and but one. (Prove as in § 25.) PKOP. XXI. THEOREM. 438. If two planes are perpendicular to each other, a straight...their intersection is perpendicular to the other. Q jv Given planes PQ and MN _L, intersecting in line QR, and line AB in plane PQ, _L QR. To Prove AB... | |
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